A Fixed Point Approach to the Stability of Quintic and Sextic Functional Equations in Quasi-<inline-formula> <graphic file="1029-242X-2010-423231-i1.gif"/></inline-formula>-Normed Spaces

A Fixed Point Approach to the Stability of Quintic and Sextic Functional Equations in Quasi-<inline-formula> <graphic file="1029-242X-2010-423231-i1.gif"/></inline-formula>-Normed Spaces

<p/> <p>We achieve the general solution of the quintic functional equation <inline-formula> <graphic file="1029-242X-2010-423231-i2.gif"/></inline-formula> and the sextic functional equation <inline-formula> <graphic file="1029-242X-2010-423231-i...

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Main Authors: Rassias JohnMichael, Rassias MatinaJohn, Xu WanXin, Xu TianZhou
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2010/423231
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spelling doaj-907d93e46cb64b34afde0c6caf642b982020-11-25T01:29:38ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101423231A Fixed Point Approach to the Stability of Quintic and Sextic Functional Equations in Quasi-<inline-formula> <graphic file="1029-242X-2010-423231-i1.gif"/></inline-formula>-Normed SpacesRassias JohnMichaelRassias MatinaJohnXu WanXinXu TianZhou<p/> <p>We achieve the general solution of the quintic functional equation <inline-formula> <graphic file="1029-242X-2010-423231-i2.gif"/></inline-formula> and the sextic functional equation <inline-formula> <graphic file="1029-242X-2010-423231-i3.gif"/></inline-formula>. Moreover, we prove the stability of the quintic and sextic functional equations in quasi-<inline-formula> <graphic file="1029-242X-2010-423231-i4.gif"/></inline-formula>-normed spaces via fixed point method.</p>http://www.journalofinequalitiesandapplications.com/content/2010/423231
collection DOAJ
language English
format Article
sources DOAJ
author Rassias JohnMichael
Rassias MatinaJohn
Xu WanXin
Xu TianZhou
spellingShingle Rassias JohnMichael
Rassias MatinaJohn
Xu WanXin
Xu TianZhou
A Fixed Point Approach to the Stability of Quintic and Sextic Functional Equations in Quasi-<inline-formula> <graphic file="1029-242X-2010-423231-i1.gif"/></inline-formula>-Normed Spaces
Journal of Inequalities and Applications
author_facet Rassias JohnMichael
Rassias MatinaJohn
Xu WanXin
Xu TianZhou
author_sort Rassias JohnMichael
title A Fixed Point Approach to the Stability of Quintic and Sextic Functional Equations in Quasi-<inline-formula> <graphic file="1029-242X-2010-423231-i1.gif"/></inline-formula>-Normed Spaces
title_short A Fixed Point Approach to the Stability of Quintic and Sextic Functional Equations in Quasi-<inline-formula> <graphic file="1029-242X-2010-423231-i1.gif"/></inline-formula>-Normed Spaces
title_full A Fixed Point Approach to the Stability of Quintic and Sextic Functional Equations in Quasi-<inline-formula> <graphic file="1029-242X-2010-423231-i1.gif"/></inline-formula>-Normed Spaces
title_fullStr A Fixed Point Approach to the Stability of Quintic and Sextic Functional Equations in Quasi-<inline-formula> <graphic file="1029-242X-2010-423231-i1.gif"/></inline-formula>-Normed Spaces
title_full_unstemmed A Fixed Point Approach to the Stability of Quintic and Sextic Functional Equations in Quasi-<inline-formula> <graphic file="1029-242X-2010-423231-i1.gif"/></inline-formula>-Normed Spaces
title_sort fixed point approach to the stability of quintic and sextic functional equations in quasi-<inline-formula> <graphic file="1029-242x-2010-423231-i1.gif"/></inline-formula>-normed spaces
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2010-01-01
description <p/> <p>We achieve the general solution of the quintic functional equation <inline-formula> <graphic file="1029-242X-2010-423231-i2.gif"/></inline-formula> and the sextic functional equation <inline-formula> <graphic file="1029-242X-2010-423231-i3.gif"/></inline-formula>. Moreover, we prove the stability of the quintic and sextic functional equations in quasi-<inline-formula> <graphic file="1029-242X-2010-423231-i4.gif"/></inline-formula>-normed spaces via fixed point method.</p>
url http://www.journalofinequalitiesandapplications.com/content/2010/423231
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